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Gevrey vectors of multi-quasi-elliptic systems
Author(s):
Chikh
Bouzar;
Rachid
Chaili
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1565-1572.
MSC (2000):
Primary 35B65, 35H10;
Secondary 35N10
Posted:
October 24, 2002
MathSciNet review:
1949887
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Abstract:
We show that the multi-quasi-ellipticity is a necessary and sufficient condition for the property of elliptic iterates to hold for multi-quasi-homogenous differential operators.
References:
-
- 1.
- P. Bolley, J. Camus, Powers and Gevrey regularity for a system of differential operators, Czechoslovak Math. J., Praha, 29 (104), (1979), 649-661. MR 80i:35043
- 2.
- P. Bolley, J. Camus, L. Rodino, Hypoellipticité analytique-Gevrey et itérés d'opérateurs, Ren. Sem. Mat. Univ. Politec. Torino, vol. 45:3, (1989), 1-61. MR 91f:35073
- 3.
- C. Bouzar, R. Chaili, Une généralisation de la propriété des itérés, Arch. Math., 76:1, (2001), 57-66. MR 2001m:35052
- 4.
- S.G. Gindikin, L.R. Volevich, The method of Newton's polyhedron in the theory of partial differential equations, Kluwer Acad. Publ., 1992. MR 95a:35001
- 5.
- G. Métivier, Propriété des itérés et ellipticité, Comm. Partial. Differential Equations, 3, 9, (1978), 827-876. MR 80f:35047
- 6.
- L. Zanghirati, Iterati di una classe di operatori ipoellittici e classi generalizzate di Gevrey, Boll. U.M.I., vol. 1, suppl., (1980), 177-195. MR 84j:35044
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- L. Zanghirati, Iterati di operatori quasi-ellittici e classi di gevrey, Bollettino U.M.I., 5, 18-B, (1981), 411-428. MR 83a:35024
- 8.
- L. Zanghirati, Complementi al teorema degli iterati quasi-ellitici, Bollettino U.M.I., 6, 1-A, (1982), 137-143. MR 83i:35083
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Additional Information:
Chikh
Bouzar
Affiliation:
Département de Mathématiques, Université d'Oran Esenia, Oran, Algeria
Email:
bouzarchikh@hotmail.com
Rachid
Chaili
Affiliation:
Département de Mathématiques, U.S.T.O., Oran, Algeria
Email:
chaili@mail.univ-usto.dz
DOI:
10.1090/S0002-9939-02-06799-0
PII:
S 0002-9939(02)06799-0
Keywords:
Systems of differential operators,
Newton polyhedron,
multi-quasi-ellipticity,
Gevrey vectors,
Gevrey spaces,
Gevrey regularity
Received by editor(s):
January 8, 2002
Posted:
October 24, 2002
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2002,
American Mathematical Society
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